I have no idea for the name - but the quilt top is FABULOUS.
I'm still really loving the checkerboard, and it all looks flat to me from here. I'm glad you didn't re-think that part of the design. ;-)
I'm glad I reread your post. I see you're using flannel for the back.
The top will stick a bit to that when quilting, but I'd still spray or hand baste the two together so you don't end up with tucks/pleats/puckers on the back.